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involute
▪ I. involute, a. and n. (ˈɪnvəl(j)uːt) [ad. L. involūt-us, -um, pa. pple. of involvĕre to roll in or up, involve.] A. adj. 1. Involved; entangled; intricate; † hidden, obscure (obs.).1669 Gale Crt. Gentiles i. iii. x. 101 They import an involute Speech or obscure question. 1690 Norris Beatitudes (1... Oxford English Dictionary
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Involute gear
In an involute gear, the profiles of the teeth are involutes of a circle. The involute gear profile was a fundamental advance in machine design, since unlike with other gear systems, the tooth profile of an involute gear depends wikipedia.org
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involute
involute/ˈɪnvəlu:t; `ɪnvəˌlut/ (also involuted) adj1 complex or intricate 复杂的; 纷繁的.2 (botany 植) (esp of leaves or petals in bud and of shells) curling inwards at the edges （尤指叶片或花蕾的瓣及甲壳）边缘向内卷曲的, 内卷的, 内旋的. 牛津英汉双解词典
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Actual vs. Effective Involute Tooth Size - Gear
The effective size can be considered the size seen by the mating component and is used to determine if the parts will fit together at assembly (not the actual size or dimension between pins value). The effective size includes the actual size plus any errors due to index, lead, or involute profile variations (see Figure 4 and Figure 8). ...
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Flickiidae
Adkinsia Boes, 1928 - Shell rather more involute and inflated than Flickia but less than Ficheuria; first lateral lobe narrower than on either. Neosynoceras Breistroffer, 1947 - A dwarf, involute, globular form with sharp umbilical, ventrolateral, and siphonal (mid ventral) tubercles. wikipedia.org
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understanding involute and evolute . I have a bit confusion about the properties of centre of circular curvature . Is there any difference between locus of centres of circle of curvature and involute ?
after spending too time in this problem what i find is that , by definition involute lies in the tangent plane of a given curve and the curve traced by the locus of center of circle curvature does not necessarily lie in the tangent plane . also the tangent to a given curve is normal to involute while
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Barremites
Description Its shell is moderately to very involute, with the outer whorl strongly embracing the inner whorls, and variably compressed. Two subgenera have been defined; Barremites (Raspailiceras) which is moderately involute with a well rounded whorl section and sloping umbilical walls, wikipedia.org
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Question about the definition of involute of a plane curve I'm studying about involute of a plane curve from here and there's a small point that is really bothering me and I can not understand it. Assuming curve is p...
The model for the involute is this: Take a circle, with scotch tape wrapped around it.
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Grypoceratidae
Stearoceras is involute with a depressed subtrapizoidal whorl section and slight ventral and lateral lobes. Grypoceras, given simply a Triassic, is like Domatoceras but tending to be more involute and to have more rounded ventral shoulders. wikipedia.org
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cyclode
cyclode Math. (ˈsaɪkləʊd, ˈsɪk-) [f. Gr. κύκλος circle + ὁδός path.] A name introduced by Prof. Sylvester, 1869, for the involute of any order to a circle. See involute.1869 Sylvester in Proc. Lond. Math. Soc. II. 137–160 A Cyclode is the continued [n{supt}{suph}] involute of a circle. Oxford English Dictionary
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Showing that a tangent to an involute of a circle is perpendicular to the circle It's been established that the parametric equations of a circle involute are: $$\begin{align} x &= r (\cos\theta + \theta \sin\theta) \...
For every $\theta$, this vector is perpendicular to the tangent of the involute: $$ (x_c'(\theta),y_c'(\theta))\cdot(x'(\theta),y'(\theta)) = (-r\sin\theta
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Goat grazing problem
The arc length of an involute is given by so the arc length |FG| of the involute in the fourth quadrant is . So we seek an expression for the area under the involute . wikipedia.org
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Dynamic Modeling and Analysis of Involute Spur Gear Transmission System ...
Lubrication analysis of low-speed and heavy-load journal bearing in wind turbine gearbox under different operating conditions JNWPU 2023, 41(5): 978-986
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渐伸线
渐伸线（involute）(或称渐开线(evolvent))和渐屈线（evolute）是曲线的微分几何上互为表里的概念。若曲线A是曲线B的渐伸线，曲线B是曲线A的渐屈线。 在曲线上选一定点S。有一动点P由S出发沿曲线移动，选在P的切线上的Q，使得曲线长SP 和直线段长PQ 相同。 摆线的渐开线 一个 摆线的渐开线是另一个与它 全等的摆线 在笛卡儿坐标系中，一个摆线的渐开线的参数方程可以写成： 其中t是角度，r是半径 参见 渐屈线 涡旋压缩机 渐开线齿轮 外部连结 Xah: Special Plane Curves: Involute , Evolute Mathworld wikipedia.org
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Can an involute gear profile be modeled with a Bézier curve? In the context of a game, I want to draw gears. The most common curves available on the platforms I'm using are third degree Bézier curves. Is there an ex...
From this paper that discusses approximating an involute curve using a 4th degree Bezier: > The circle involute curves are by definition transcendental
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